Scalar Casimir effect in a circular Aharonov - Bohm quantum billiard

Romeo-i-Val, August

doi:10.1088/0305-4470/29/13/034

J. Phys. A: Math. Gen.

1996

DOI: 10.1088/0305-4470/29/13/034

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Scalar Casimir effect in a circular Aharonov - Bohm quantum billiard

August Romeo-i-Val¹

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1996

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Complete Zeta-Function Approach to the Electromagnetic Casimir Effect for Spheres and Circles

1996

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A technique for evaluating the electromagnetic Casimir energy in situations involving spherical or circular boundaries is presented. Zeta function regularization is unambiguously used from the start and the properties of Bessel and related zeta functions are central. Nontrivial results concerning these functions are given. While part of their application agrees with previous knowledge, new results like the zeta-regularized electromagnetic Casimir energy for a circular wire are included.

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Complete Zeta-Function Approach to the Electromagnetic Casimir Effect for Spheres and Circles

1996

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Scalar Casimir effect in a circular Aharonov - Bohm quantum billiard

Cited by 1 publication

References 19 publications

Complete Zeta-Function Approach to the Electromagnetic Casimir Effect for Spheres and Circles

Complete Zeta-Function Approach to the Electromagnetic Casimir Effect for Spheres and Circles

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